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June 16, 2024

FIBONACCI SEQUENCE THROUGH PROGRAMMING

For this assignment, you will be exploring the Fibonacci sequence through programming. Complete the following tasks:

Research and take note of the recursive formula F(n) that can be used to define the Fibonacci sequence.
How is the Fibonacci sequence related to the golden ratio Φ ?
Is there a closed formula for F(n)? If so, what is it?
Design a simple program, using pseudocode, to implement the recursive formula you found in part (a) to compute numbers in the Fibonacci sequence.
Determine the number of times your program computes F(1) for each time F(5) is computed.
Discuss any issues you find with your program and what reasoning there may be.

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